856
Appendix II.
Let lines a and b be tangents to the curve at A and B respec-
tively. Then 0 = a, and tan a = a, as a is small. Also § -•
I>=j;0=J'tt==:j/ tana
and 7 r>'= ty tana = Ejy (slope accumulated from A to B)
Let Q H j be a Bm curve for the bad, which we can transform
into a limiting-stress curve, for/= Bm^-Z. Then
/D = area M = (slope accumulated from A to B) Ey
also, area NT == (slope accumulated from B to c) Ey
.-, areas M-F-N- = (slope accumulated from A toe) Ey.
Hence, sum of stress ,11 total slope at )' *
curve to any point ) ( that point J • •?